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Question
question 2 of 5
given statements:
if a shape is a rhombus, then the diagonals are perpendicular.
a square is a rhombus.
what is a logical conclusion from the given statements?
a. the sides of a square are perpendicular.
b. the diagonals of a square are perpendicular.
c. a rhombus is a square.
d. the diagonals of a square are not perpendicular.
Step1: Analyze the first statement
The first statement says if a shape is a rhombus, then its diagonals are perpendicular.
Step2: Analyze the second statement
The second statement says a square is a rhombus.
Step3: Draw conclusion
Since a square is a rhombus (from statement 2) and for a rhombus the diagonals are perpendicular (from statement 1), we can conclude that the diagonals of a square are perpendicular.
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B. The diagonals of a square are perpendicular.